Looks very good. The video has been made and promoted by a sailing school in Netherlands in intention to get customers.
School location
52.251297, 4.756327
North wind about 350 degrees, 100% cloud coverage, video posted on August 3, Based on the local weather records the video was recorded on August 2. Wind records show 10-27 knots, which was probably less on this small inland lake. White caps may not be there because of less then 1 km of open water for waves to develop and wind variation is so high. This is where the first question comes to this video. Bart Kramer says that wind was 4-6 knots. It is normal for a skilled foiler to fly at 4-6 knots wind. But telling that it was such of consistent 4-6 wind is questionable. Such of consistency in wind speed is not common even on my Atlantic coast. I do not question Bart's ability to stay in flight at 4 knots because it has been demonstrated by others and I witnessed the same. But making a jibe at 6 knots the way Bart shows on the video is questionable. Notice the foil almost stopped in the middle of the jibe and then accelerated without pumping the sail. On the middle of his jibe he was moving with the wind so the apparent wind was nothing, while he managed to have wind power. If he says wind was 6 knots he would have 0 knots apparent wind, but we see on the video he has good force on sail. It means the wind was stronger than the minimum foil speed. I think the wind on Bart's video was 4-12 knots and he did several videos in order to get the moment when 12 knots gust allows to make that jibe. And, the white caps would not have enough time to develop because it was not consistent wind for them to develop. On your other video there is even more wind, but the sailor cannot continue the flight so the video stops. Bart probably asked his school yellow sailors to open sails so they do not move, pretending like no wind. Obviously they are holding sails in wrong position like flags. There are also very common indication of possible fake such as poor resolution and limited control over the video. Find a video on YouTube in high resolution so we can examine the video in finer details.
I do not argue the fact that Bart can get in flight in 6 and continue in 4. It is normal to do what you show on your video at 4-6 knots wind but not the jibe. On the video I posted there is no claim of any specific wind speed. The video suggests you to look and decide what wind speed you see. I see 7 knots on the wind sock on the air base in the top of the building. I assume the wind is less behind the building.
The video below is an opposition to your white caps method. I see good wind, but I do not see your white caps.
P.S. The picture of a minor you posted has a web address on its left bottom corner. Is this kind of social media you are interested besides writing on this forum?